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Finding the Fourth Proportional to 674.20, 1,010.76 and 509.50

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Solution

The fourth proportional to 674.20, 1,010.76 and 509.50 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.20 : 1,010.76 = 509.50 : x
  2. Step 2: Convert to fraction form
    674.20/1,010.76 = 509.50/x
  3. Step 3: Cross multiply
    674.20x = 1,010.76 × 509.50
  4. Step 4: Simplify right side
    674.20x = 514,982.22
  5. Step 5: Solve for x
    x = 514,982.22/674.20
  6. Step 6: Final answer
    x = 763.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.